{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "489d9688",
   "metadata": {},
   "outputs": [],
   "source": [
    "[1,2,3] .*3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8d756ebc",
   "metadata": {},
   "outputs": [],
   "source": [
    "x=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "97041685",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f2840612",
   "metadata": {},
   "outputs": [],
   "source": [
    "0 .< a .< 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3b705243",
   "metadata": {},
   "outputs": [],
   "source": [
    "0 <a <1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bb706763",
   "metadata": {},
   "outputs": [],
   "source": [
    "0< a < 0.1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d5ceb0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "[0,0] .< a .< [1,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c5cfa445",
   "metadata": {},
   "outputs": [],
   "source": [
    "1&2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "162fa087",
   "metadata": {},
   "outputs": [],
   "source": [
    "true && false"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ba2629fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "?√"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1b2175ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "√1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "32fafdf5",
   "metadata": {},
   "outputs": [],
   "source": [
    "?÷"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "950ea607",
   "metadata": {},
   "outputs": [],
   "source": [
    "1 ÷ 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a31ac418",
   "metadata": {},
   "outputs": [],
   "source": [
    "1.0 ÷ 2.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93afc8ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "1 /2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "13414ada",
   "metadata": {},
   "outputs": [],
   "source": [
    "1 \\ 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "907d0c56",
   "metadata": {},
   "outputs": [],
   "source": [
    "2 // 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd2e7b22",
   "metadata": {},
   "outputs": [],
   "source": [
    "8 // 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "12d0f871",
   "metadata": {},
   "outputs": [],
   "source": [
    "ans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c5b8eba4",
   "metadata": {},
   "outputs": [],
   "source": [
    "2 // 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "382a42ea",
   "metadata": {},
   "outputs": [],
   "source": [
    "true == true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4614f3fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "true === true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ee443224",
   "metadata": {},
   "outputs": [],
   "source": [
    "Base.operator_precedence(:÷)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cae89096",
   "metadata": {},
   "outputs": [],
   "source": [
    "x=3; 2^2x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "465c31b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "2^6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "33be5b73",
   "metadata": {},
   "outputs": [],
   "source": [
    "2x^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fb9f8abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "x̂=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "51947a6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "x̂"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "be4dd50c",
   "metadata": {},
   "outputs": [],
   "source": [
    "round(1.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "03dcebb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "floor(1.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5df7f7a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "ceil(1.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "822d1542",
   "metadata": {},
   "outputs": [],
   "source": [
    "typemax(Int16) % Int8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "313f5638",
   "metadata": {},
   "outputs": [],
   "source": [
    "bitstring(ans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0bde4254",
   "metadata": {},
   "outputs": [],
   "source": [
    "x=1.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5f1fb230",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "22415035",
   "metadata": {},
   "outputs": [],
   "source": [
    "ceil(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7d65d956",
   "metadata": {},
   "outputs": [],
   "source": [
    "ceil(Int8,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c3928bc1",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(ans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b59bce96",
   "metadata": {},
   "outputs": [],
   "source": [
    "trunc(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "32c60b57",
   "metadata": {},
   "outputs": [],
   "source": [
    "floor(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab9bc398",
   "metadata": {},
   "outputs": [],
   "source": [
    "floor(-1.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c8a31c27",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(AbstractString)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "89674a87",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(NamedTuple)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2dfd5052",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(TypeVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9b5a7056",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(UnionAll)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cddda616",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(Pair)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7a65717f",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(Pair{Int8,String})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "79a82d57",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(Pair{A,B})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "08c7b8d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "f= (x)->x^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9f41f504",
   "metadata": {},
   "outputs": [],
   "source": [
    "f(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7b392a86",
   "metadata": {},
   "outputs": [],
   "source": [
    "1=>\"hello\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b1a55cc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "ans.first"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "da6a169d",
   "metadata": {},
   "outputs": [],
   "source": [
    "ans.second"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a44e3e51",
   "metadata": {},
   "outputs": [],
   "source": [
    "ans[-2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9d49d0af",
   "metadata": {},
   "outputs": [],
   "source": [
    "hash(\"hello\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ea78695d",
   "metadata": {},
   "outputs": [],
   "source": [
    "f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd4f92e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "f.([1,2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b07a45af",
   "metadata": {},
   "outputs": [],
   "source": [
    "ans.*5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ace030a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "using TestImages, Images, ImageView\n",
    "img = testimage(\"mandrill\")\n",
    "imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "23d35bc0",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c3ba82e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "993d9dac",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3c101f5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load(\"~/harry/1.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "32f1a447",
   "metadata": {},
   "outputs": [],
   "source": [
    "using FileIO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db325622",
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load(\"/Users/ruihe/harry/1.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5b8c0d22",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "efb4a8d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "Images.names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f2a7e13e",
   "metadata": {},
   "outputs": [],
   "source": [
    "names(Images)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d9d01127",
   "metadata": {},
   "outputs": [],
   "source": [
    "names(ImageView)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2144a325",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow_gui(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "23b9dc35",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow_gui\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "03bf429e",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow_gui((50,50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "74b41ec9",
   "metadata": {},
   "outputs": [],
   "source": [
    "names(Images,all=true,imported=true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "24af9c53",
   "metadata": {},
   "outputs": [],
   "source": [
    "homedir()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1fc36893",
   "metadata": {},
   "outputs": [],
   "source": [
    "cd(\"/Users/ruihe/coding/labox/studyJulia/images\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3c252c1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "pwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a1c938a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load(\"1.jpg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b96161f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "img_binary = 1 * (Gray.(img) .> 0.5);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8941ac4e",
   "metadata": {},
   "outputs": [],
   "source": [
    "img_binary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e8a8ac53",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(img_binary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ca1ce19f",
   "metadata": {},
   "outputs": [],
   "source": [
    "Gray.(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9cb9e279",
   "metadata": {},
   "outputs": [],
   "source": [
    "Gray(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9f35391f",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(Gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0c6759c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e02dded2",
   "metadata": {},
   "outputs": [],
   "source": [
    "1*true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd8b7f0b",
   "metadata": {},
   "outputs": [],
   "source": [
    "?restrict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7eb4bd4c",
   "metadata": {},
   "outputs": [],
   "source": [
    "P = [1   0   0;      # this line \"copies over\" the first point\n",
    "     0.5 0.5 0;      # this line takes the mean of the first and second point\n",
    "     0   1   0;      # copy the second point\n",
    "     0   0.5 0.5;    # take the mean of the second and third\n",
    "     0   0   1]      # copy the third"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "763d84b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "P'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8b922a65",
   "metadata": {},
   "outputs": [],
   "source": [
    "image_url = \"https://cdn.pixabay.com/photo/2018/01/04/18/58/cats-3061372_640.jpg?attachment\"\n",
    "downloaded_image_path = download(image_url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bb51066a",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(downloaded_image_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "41cd27a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "img2 = load(downloaded_image_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0878df5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "Gray.(img2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "67ca5c1a",
   "metadata": {},
   "outputs": [],
   "source": [
    "1*(Gray.(img2) .> 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6387727e",
   "metadata": {},
   "outputs": [],
   "source": [
    "imshow(ans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7be68361",
   "metadata": {},
   "outputs": [],
   "source": [
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "94e7ec9f",
   "metadata": {},
   "outputs": [],
   "source": [
    "RGB.(Gray.(img2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5adaf630",
   "metadata": {},
   "outputs": [],
   "source": [
    "?GRB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "df4ffa88",
   "metadata": {},
   "outputs": [],
   "source": [
    "?RGB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9ef85126",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "46449c2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "01bedb46",
   "metadata": {},
   "outputs": [],
   "source": [
    "dump(Gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6bcb2dea",
   "metadata": {},
   "outputs": [],
   "source": [
    "img2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bcd3456b",
   "metadata": {},
   "outputs": [],
   "source": [
    "size(img2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "de77d6f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "im2 = img2[100:160,500:600]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a60caf58",
   "metadata": {},
   "outputs": [],
   "source": [
    "?trunc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "544ea9c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "?readcsv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c092b5c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "readcsv(\"/dataset/magic/magic04.data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5b366dfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "CSV.read(\"/dataset/magic/magic04.data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aabd88d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "using CSV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "86f9fb32",
   "metadata": {},
   "outputs": [],
   "source": [
    "?CSV.read"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9db7cd0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "magic_data_path = \"./dataset/magic/magicp04.data\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2d9b369a",
   "metadata": {},
   "outputs": [],
   "source": [
    "CSV.read(magic_data_path,delim=',',datarow=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b84d378e",
   "metadata": {},
   "outputs": [],
   "source": [
    "typeof(DataFrames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "432d4a74",
   "metadata": {},
   "outputs": [],
   "source": [
    "using DataFrames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8394f379",
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: DataFrame not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: DataFrame not defined",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[3]:1",
      " [2] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [3] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1116"
     ]
    }
   ],
   "source": [
    "df = CSV.File(\"/Users/ruihe/coding/labox/studyJulia/dataset/covid-19/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv\") |> DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "39326c98",
   "metadata": {},
   "outputs": [],
   "source": [
    "using CSV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6e91d7bb",
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: df not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: df not defined",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[4]:1",
      " [2] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [3] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1116"
     ]
    }
   ],
   "source": [
    "first(df,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cbcc1efe",
   "metadata": {},
   "outputs": [],
   "source": [
    "using DataFrames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "b9d92d35",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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      ],
      "text/latex": [
       "\\begin{tabular}{r|cccccc}\n",
       "\t& Province/State & Country/Region & Lat & Long & 1/22/20 & \\\\\n",
       "\t\\hline\n",
       "\t& String63? & String63 & Float64? & Float64? & Int64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & \\emph{missing} & Afghanistan & 33.9391 & 67.71 & 0 & $\\dots$ \\\\\n",
       "\t2 & \\emph{missing} & Albania & 41.1533 & 20.1683 & 0 & $\\dots$ \\\\\n",
       "\t3 & \\emph{missing} & Algeria & 28.0339 & 1.6596 & 0 & $\\dots$ \\\\\n",
       "\t4 & \\emph{missing} & Andorra & 42.5063 & 1.5218 & 0 & $\\dots$ \\\\\n",
       "\t5 & \\emph{missing} & Angola & -11.2027 & 17.8739 & 0 & $\\dots$ \\\\\n",
       "\t6 & \\emph{missing} & Antigua and Barbuda & 17.0608 & -61.7964 & 0 & $\\dots$ \\\\\n",
       "\t7 & \\emph{missing} & Argentina & -38.4161 & -63.6167 & 0 & $\\dots$ \\\\\n",
       "\t8 & \\emph{missing} & Armenia & 40.0691 & 45.0382 & 0 & $\\dots$ \\\\\n",
       "\t9 & Australian Capital Territory & Australia & -35.4735 & 149.012 & 0 & $\\dots$ \\\\\n",
       "\t10 & New South Wales & Australia & -33.8688 & 151.209 & 0 & $\\dots$ \\\\\n",
       "\t11 & Northern Territory & Australia & -12.4634 & 130.846 & 0 & $\\dots$ \\\\\n",
       "\t12 & Queensland & Australia & -27.4698 & 153.025 & 0 & $\\dots$ \\\\\n",
       "\t13 & South Australia & Australia & -34.9285 & 138.601 & 0 & $\\dots$ \\\\\n",
       "\t14 & Tasmania & Australia & -42.8821 & 147.327 & 0 & $\\dots$ \\\\\n",
       "\t15 & Victoria & Australia & -37.8136 & 144.963 & 0 & $\\dots$ \\\\\n",
       "\t16 & Western Australia & Australia & -31.9505 & 115.861 & 0 & $\\dots$ \\\\\n",
       "\t17 & \\emph{missing} & Austria & 47.5162 & 14.5501 & 0 & $\\dots$ \\\\\n",
       "\t18 & \\emph{missing} & Azerbaijan & 40.1431 & 47.5769 & 0 & $\\dots$ \\\\\n",
       "\t19 & \\emph{missing} & Bahamas & 25.0259 & -78.0359 & 0 & $\\dots$ \\\\\n",
       "\t20 & \\emph{missing} & Bahrain & 26.0275 & 50.55 & 0 & $\\dots$ \\\\\n",
       "\t21 & \\emph{missing} & Bangladesh & 23.685 & 90.3563 & 0 & $\\dots$ \\\\\n",
       "\t22 & \\emph{missing} & Barbados & 13.1939 & -59.5432 & 0 & $\\dots$ \\\\\n",
       "\t23 & \\emph{missing} & Belarus & 53.7098 & 27.9534 & 0 & $\\dots$ \\\\\n",
       "\t24 & \\emph{missing} & Belgium & 50.8333 & 4.46994 & 0 & $\\dots$ \\\\\n",
       "\t25 & \\emph{missing} & Belize & 17.1899 & -88.4976 & 0 & $\\dots$ \\\\\n",
       "\t26 & \\emph{missing} & Benin & 9.3077 & 2.3158 & 0 & $\\dots$ \\\\\n",
       "\t27 & \\emph{missing} & Bhutan & 27.5142 & 90.4336 & 0 & $\\dots$ \\\\\n",
       "\t28 & \\emph{missing} & Bolivia & -16.2902 & -63.5887 & 0 & $\\dots$ \\\\\n",
       "\t29 & \\emph{missing} & Bosnia and Herzegovina & 43.9159 & 17.6791 & 0 & $\\dots$ \\\\\n",
       "\t30 & \\emph{missing} & Botswana & -22.3285 & 24.6849 & 0 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m280×662 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m Province/State                    \u001b[0m\u001b[1m Country/Region      \u001b[0m\u001b[1m Lat      \u001b[0m\u001b[1m Long \u001b[0m ⋯\n",
       "\u001b[1m     \u001b[0m│\u001b[90m String63?                         \u001b[0m\u001b[90m String63            \u001b[0m\u001b[90m Float64? \u001b[0m\u001b[90m Float\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │\u001b[90m missing                           \u001b[0m Afghanistan           33.9391   67.7 ⋯\n",
       "   2 │\u001b[90m missing                           \u001b[0m Albania               41.1533   20.1\n",
       "   3 │\u001b[90m missing                           \u001b[0m Algeria               28.0339    1.6\n",
       "   4 │\u001b[90m missing                           \u001b[0m Andorra               42.5063    1.5\n",
       "   5 │\u001b[90m missing                           \u001b[0m Angola               -11.2027   17.8 ⋯\n",
       "   6 │\u001b[90m missing                           \u001b[0m Antigua and Barbuda   17.0608  -61.7\n",
       "   7 │\u001b[90m missing                           \u001b[0m Argentina            -38.4161  -63.6\n",
       "   8 │\u001b[90m missing                           \u001b[0m Armenia               40.0691   45.0\n",
       "   9 │ Australian Capital Territory       Australia            -35.4735  149.0 ⋯\n",
       "  10 │ New South Wales                    Australia            -33.8688  151.2\n",
       "  11 │ Northern Territory                 Australia            -12.4634  130.8\n",
       "  ⋮  │                 ⋮                           ⋮              ⋮         ⋮  ⋱\n",
       " 271 │\u001b[90m missing                           \u001b[0m United Kingdom        55.3781   -3.4\n",
       " 272 │\u001b[90m missing                           \u001b[0m Uruguay              -32.5228  -55.7 ⋯\n",
       " 273 │\u001b[90m missing                           \u001b[0m Uzbekistan            41.3775   64.5\n",
       " 274 │\u001b[90m missing                           \u001b[0m Vanuatu              -15.3767  166.9\n",
       " 275 │\u001b[90m missing                           \u001b[0m Venezuela              6.4238  -66.5\n",
       " 276 │\u001b[90m missing                           \u001b[0m Vietnam               14.0583  108.2 ⋯\n",
       " 277 │\u001b[90m missing                           \u001b[0m West Bank and Gaza    31.9522   35.2\n",
       " 278 │\u001b[90m missing                           \u001b[0m Yemen                 15.5527   48.5\n",
       " 279 │\u001b[90m missing                           \u001b[0m Zambia               -13.1339   27.8\n",
       " 280 │\u001b[90m missing                           \u001b[0m Zimbabwe             -19.0154   29.1 ⋯\n",
       "\u001b[36m                                                659 columns and 259 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = CSV.File(\"/Users/ruihe/coding/labox/studyJulia/dataset/covid-19/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv\") |> DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6e2b9992",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"data-frame\"><p>10 rows × 662 columns (omitted printing of 657 columns)</p><table class=\"data-frame\"><thead><tr><th></th><th>Province/State</th><th>Country/Region</th><th>Lat</th><th>Long</th><th>1/22/20</th></tr><tr><th></th><th title=\"Union{Missing, String63}\">String63?</th><th title=\"String63\">String63</th><th title=\"Union{Missing, Float64}\">Float64?</th><th title=\"Union{Missing, Float64}\">Float64?</th><th title=\"Int64\">Int64</th></tr></thead><tbody><tr><th>1</th><td><em>missing</em></td><td>Afghanistan</td><td>33.9391</td><td>67.71</td><td>0</td></tr><tr><th>2</th><td><em>missing</em></td><td>Albania</td><td>41.1533</td><td>20.1683</td><td>0</td></tr><tr><th>3</th><td><em>missing</em></td><td>Algeria</td><td>28.0339</td><td>1.6596</td><td>0</td></tr><tr><th>4</th><td><em>missing</em></td><td>Andorra</td><td>42.5063</td><td>1.5218</td><td>0</td></tr><tr><th>5</th><td><em>missing</em></td><td>Angola</td><td>-11.2027</td><td>17.8739</td><td>0</td></tr><tr><th>6</th><td><em>missing</em></td><td>Antigua and Barbuda</td><td>17.0608</td><td>-61.7964</td><td>0</td></tr><tr><th>7</th><td><em>missing</em></td><td>Argentina</td><td>-38.4161</td><td>-63.6167</td><td>0</td></tr><tr><th>8</th><td><em>missing</em></td><td>Armenia</td><td>40.0691</td><td>45.0382</td><td>0</td></tr><tr><th>9</th><td>Australian Capital Territory</td><td>Australia</td><td>-35.4735</td><td>149.012</td><td>0</td></tr><tr><th>10</th><td>New South Wales</td><td>Australia</td><td>-33.8688</td><td>151.209</td><td>0</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cccccc}\n",
       "\t& Province/State & Country/Region & Lat & Long & 1/22/20 & \\\\\n",
       "\t\\hline\n",
       "\t& String63? & String63 & Float64? & Float64? & Int64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & \\emph{missing} & Afghanistan & 33.9391 & 67.71 & 0 & $\\dots$ \\\\\n",
       "\t2 & \\emph{missing} & Albania & 41.1533 & 20.1683 & 0 & $\\dots$ \\\\\n",
       "\t3 & \\emph{missing} & Algeria & 28.0339 & 1.6596 & 0 & $\\dots$ \\\\\n",
       "\t4 & \\emph{missing} & Andorra & 42.5063 & 1.5218 & 0 & $\\dots$ \\\\\n",
       "\t5 & \\emph{missing} & Angola & -11.2027 & 17.8739 & 0 & $\\dots$ \\\\\n",
       "\t6 & \\emph{missing} & Antigua and Barbuda & 17.0608 & -61.7964 & 0 & $\\dots$ \\\\\n",
       "\t7 & \\emph{missing} & Argentina & -38.4161 & -63.6167 & 0 & $\\dots$ \\\\\n",
       "\t8 & \\emph{missing} & Armenia & 40.0691 & 45.0382 & 0 & $\\dots$ \\\\\n",
       "\t9 & Australian Capital Territory & Australia & -35.4735 & 149.012 & 0 & $\\dots$ \\\\\n",
       "\t10 & New South Wales & Australia & -33.8688 & 151.209 & 0 & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m10×662 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m Province/State               \u001b[0m\u001b[1m Country/Region      \u001b[0m\u001b[1m Lat      \u001b[0m\u001b[1m Long     \u001b[0m\u001b[1m \u001b[0m ⋯\n",
       "\u001b[1m     \u001b[0m│\u001b[90m String63?                    \u001b[0m\u001b[90m String63            \u001b[0m\u001b[90m Float64? \u001b[0m\u001b[90m Float64? \u001b[0m\u001b[90m \u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │\u001b[90m missing                      \u001b[0m Afghanistan           33.9391   67.71     ⋯\n",
       "   2 │\u001b[90m missing                      \u001b[0m Albania               41.1533   20.1683\n",
       "   3 │\u001b[90m missing                      \u001b[0m Algeria               28.0339    1.6596\n",
       "   4 │\u001b[90m missing                      \u001b[0m Andorra               42.5063    1.5218\n",
       "   5 │\u001b[90m missing                      \u001b[0m Angola               -11.2027   17.8739   ⋯\n",
       "   6 │\u001b[90m missing                      \u001b[0m Antigua and Barbuda   17.0608  -61.7964\n",
       "   7 │\u001b[90m missing                      \u001b[0m Argentina            -38.4161  -63.6167\n",
       "   8 │\u001b[90m missing                      \u001b[0m Armenia               40.0691   45.0382\n",
       "   9 │ Australian Capital Territory  Australia            -35.4735  149.012    ⋯\n",
       "  10 │ New South Wales               Australia            -33.8688  151.209\n",
       "\u001b[36m                                                             658 columns omitted\u001b[0m"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first(df,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "1202b10a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"data-frame\"><p>280 rows × 659 columns (omitted printing of 651 columns)</p><table class=\"data-frame\"><thead><tr><th></th><th>Country/Region</th><th>1/22/20</th><th>1/23/20</th><th>1/24/20</th><th>1/25/20</th><th>1/26/20</th><th>1/27/20</th><th>1/28/20</th></tr><tr><th></th><th title=\"String63\">String63</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th><th title=\"Int64\">Int64</th></tr></thead><tbody><tr><th>1</th><td>Afghanistan</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>2</th><td>Albania</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>3</th><td>Algeria</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>4</th><td>Andorra</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>5</th><td>Angola</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>6</th><td>Antigua and Barbuda</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>7</th><td>Argentina</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>8</th><td>Armenia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>9</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>10</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>3</td><td>4</td><td>4</td></tr><tr><th>11</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>12</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>13</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>14</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>15</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>1</td><td>1</td></tr><tr><th>16</th><td>Australia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>17</th><td>Austria</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>18</th><td>Azerbaijan</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>19</th><td>Bahamas</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>20</th><td>Bahrain</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>21</th><td>Bangladesh</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>22</th><td>Barbados</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>23</th><td>Belarus</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>24</th><td>Belgium</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>25</th><td>Belize</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>26</th><td>Benin</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>27</th><td>Bhutan</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>28</th><td>Bolivia</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>29</th><td>Bosnia and Herzegovina</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>30</th><td>Botswana</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><th>&vellip;</th><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccccccc}\n",
       "\t& Country/Region & 1/22/20 & 1/23/20 & 1/24/20 & 1/25/20 & 1/26/20 & 1/27/20 & 1/28/20 & \\\\\n",
       "\t\\hline\n",
       "\t& String63 & Int64 & Int64 & Int64 & Int64 & Int64 & Int64 & Int64 & \\\\\n",
       "\t\\hline\n",
       "\t1 & Afghanistan & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t2 & Albania & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t3 & Algeria & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t4 & Andorra & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t5 & Angola & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t6 & Antigua and Barbuda & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t7 & Argentina & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t8 & Armenia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t9 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t10 & Australia & 0 & 0 & 0 & 0 & 3 & 4 & 4 & $\\dots$ \\\\\n",
       "\t11 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t12 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t13 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t14 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t15 & Australia & 0 & 0 & 0 & 0 & 1 & 1 & 1 & $\\dots$ \\\\\n",
       "\t16 & Australia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t17 & Austria & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t18 & Azerbaijan & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t19 & Bahamas & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t20 & Bahrain & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t21 & Bangladesh & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t22 & Barbados & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t23 & Belarus & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t24 & Belgium & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t25 & Belize & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t26 & Benin & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t27 & Bhutan & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t28 & Bolivia & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t29 & Bosnia and Herzegovina & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t30 & Botswana & 0 & 0 & 0 & 0 & 0 & 0 & 0 & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m280×659 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m Country/Region      \u001b[0m\u001b[1m 1/22/20 \u001b[0m\u001b[1m 1/23/20 \u001b[0m\u001b[1m 1/24/20 \u001b[0m\u001b[1m 1/25/20 \u001b[0m\u001b[1m 1/26/20 \u001b[0m\u001b[1m 1/27/\u001b[0m ⋯\n",
       "\u001b[1m     \u001b[0m│\u001b[90m String63            \u001b[0m\u001b[90m Int64   \u001b[0m\u001b[90m Int64   \u001b[0m\u001b[90m Int64   \u001b[0m\u001b[90m Int64   \u001b[0m\u001b[90m Int64   \u001b[0m\u001b[90m Int64\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ Afghanistan                0        0        0        0        0        ⋯\n",
       "   2 │ Albania                    0        0        0        0        0\n",
       "   3 │ Algeria                    0        0        0        0        0\n",
       "   4 │ Andorra                    0        0        0        0        0\n",
       "   5 │ Angola                     0        0        0        0        0        ⋯\n",
       "   6 │ Antigua and Barbuda        0        0        0        0        0\n",
       "   7 │ Argentina                  0        0        0        0        0\n",
       "   8 │ Armenia                    0        0        0        0        0\n",
       "   9 │ Australia                  0        0        0        0        0        ⋯\n",
       "  10 │ Australia                  0        0        0        0        3\n",
       "  11 │ Australia                  0        0        0        0        0\n",
       "  ⋮  │          ⋮              ⋮        ⋮        ⋮        ⋮        ⋮        ⋮  ⋱\n",
       " 271 │ United Kingdom             0        0        0        0        0\n",
       " 272 │ Uruguay                    0        0        0        0        0        ⋯\n",
       " 273 │ Uzbekistan                 0        0        0        0        0\n",
       " 274 │ Vanuatu                    0        0        0        0        0\n",
       " 275 │ Venezuela                  0        0        0        0        0\n",
       " 276 │ Vietnam                    0        2        2        2        2        ⋯\n",
       " 277 │ West Bank and Gaza         0        0        0        0        0\n",
       " 278 │ Yemen                      0        0        0        0        0\n",
       " 279 │ Zambia                     0        0        0        0        0\n",
       " 280 │ Zimbabwe                   0        0        0        0        0        ⋯\n",
       "\u001b[36m                                                653 columns and 259 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "select!(df, Not([\"Province/State\", \"Lat\", \"Long\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "71eb7a9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"data-frame\"><p>184,240 rows × 3 columns</p><table class=\"data-frame\"><thead><tr><th></th><th>Country/Region</th><th>Date</th><th>Cases</th></tr><tr><th></th><th title=\"String63\">String63</th><th title=\"String\">String</th><th title=\"Int64\">Int64</th></tr></thead><tbody><tr><th>1</th><td>Afghanistan</td><td>1/22/20</td><td>0</td></tr><tr><th>2</th><td>Albania</td><td>1/22/20</td><td>0</td></tr><tr><th>3</th><td>Algeria</td><td>1/22/20</td><td>0</td></tr><tr><th>4</th><td>Andorra</td><td>1/22/20</td><td>0</td></tr><tr><th>5</th><td>Angola</td><td>1/22/20</td><td>0</td></tr><tr><th>6</th><td>Antigua and Barbuda</td><td>1/22/20</td><td>0</td></tr><tr><th>7</th><td>Argentina</td><td>1/22/20</td><td>0</td></tr><tr><th>8</th><td>Armenia</td><td>1/22/20</td><td>0</td></tr><tr><th>9</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>10</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>11</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>12</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>13</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>14</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>15</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>16</th><td>Australia</td><td>1/22/20</td><td>0</td></tr><tr><th>17</th><td>Austria</td><td>1/22/20</td><td>0</td></tr><tr><th>18</th><td>Azerbaijan</td><td>1/22/20</td><td>0</td></tr><tr><th>19</th><td>Bahamas</td><td>1/22/20</td><td>0</td></tr><tr><th>20</th><td>Bahrain</td><td>1/22/20</td><td>0</td></tr><tr><th>21</th><td>Bangladesh</td><td>1/22/20</td><td>0</td></tr><tr><th>22</th><td>Barbados</td><td>1/22/20</td><td>0</td></tr><tr><th>23</th><td>Belarus</td><td>1/22/20</td><td>0</td></tr><tr><th>24</th><td>Belgium</td><td>1/22/20</td><td>0</td></tr><tr><th>25</th><td>Belize</td><td>1/22/20</td><td>0</td></tr><tr><th>26</th><td>Benin</td><td>1/22/20</td><td>0</td></tr><tr><th>27</th><td>Bhutan</td><td>1/22/20</td><td>0</td></tr><tr><th>28</th><td>Bolivia</td><td>1/22/20</td><td>0</td></tr><tr><th>29</th><td>Bosnia and Herzegovina</td><td>1/22/20</td><td>0</td></tr><tr><th>30</th><td>Botswana</td><td>1/22/20</td><td>0</td></tr><tr><th>&vellip;</th><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccc}\n",
       "\t& Country/Region & Date & Cases\\\\\n",
       "\t\\hline\n",
       "\t& String63 & String & Int64\\\\\n",
       "\t\\hline\n",
       "\t1 & Afghanistan & 1/22/20 & 0 \\\\\n",
       "\t2 & Albania & 1/22/20 & 0 \\\\\n",
       "\t3 & Algeria & 1/22/20 & 0 \\\\\n",
       "\t4 & Andorra & 1/22/20 & 0 \\\\\n",
       "\t5 & Angola & 1/22/20 & 0 \\\\\n",
       "\t6 & Antigua and Barbuda & 1/22/20 & 0 \\\\\n",
       "\t7 & Argentina & 1/22/20 & 0 \\\\\n",
       "\t8 & Armenia & 1/22/20 & 0 \\\\\n",
       "\t9 & Australia & 1/22/20 & 0 \\\\\n",
       "\t10 & Australia & 1/22/20 & 0 \\\\\n",
       "\t11 & Australia & 1/22/20 & 0 \\\\\n",
       "\t12 & Australia & 1/22/20 & 0 \\\\\n",
       "\t13 & Australia & 1/22/20 & 0 \\\\\n",
       "\t14 & Australia & 1/22/20 & 0 \\\\\n",
       "\t15 & Australia & 1/22/20 & 0 \\\\\n",
       "\t16 & Australia & 1/22/20 & 0 \\\\\n",
       "\t17 & Austria & 1/22/20 & 0 \\\\\n",
       "\t18 & Azerbaijan & 1/22/20 & 0 \\\\\n",
       "\t19 & Bahamas & 1/22/20 & 0 \\\\\n",
       "\t20 & Bahrain & 1/22/20 & 0 \\\\\n",
       "\t21 & Bangladesh & 1/22/20 & 0 \\\\\n",
       "\t22 & Barbados & 1/22/20 & 0 \\\\\n",
       "\t23 & Belarus & 1/22/20 & 0 \\\\\n",
       "\t24 & Belgium & 1/22/20 & 0 \\\\\n",
       "\t25 & Belize & 1/22/20 & 0 \\\\\n",
       "\t26 & Benin & 1/22/20 & 0 \\\\\n",
       "\t27 & Bhutan & 1/22/20 & 0 \\\\\n",
       "\t28 & Bolivia & 1/22/20 & 0 \\\\\n",
       "\t29 & Bosnia and Herzegovina & 1/22/20 & 0 \\\\\n",
       "\t30 & Botswana & 1/22/20 & 0 \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m184240×3 DataFrame\u001b[0m\n",
       "\u001b[1m    Row \u001b[0m│\u001b[1m Country/Region      \u001b[0m\u001b[1m Date    \u001b[0m\u001b[1m Cases   \u001b[0m\n",
       "\u001b[1m        \u001b[0m│\u001b[90m String63            \u001b[0m\u001b[90m String  \u001b[0m\u001b[90m Int64   \u001b[0m\n",
       "────────┼───────────────────────────────────────\n",
       "      1 │ Afghanistan          1/22/20        0\n",
       "      2 │ Albania              1/22/20        0\n",
       "      3 │ Algeria              1/22/20        0\n",
       "      4 │ Andorra              1/22/20        0\n",
       "      5 │ Angola               1/22/20        0\n",
       "      6 │ Antigua and Barbuda  1/22/20        0\n",
       "      7 │ Argentina            1/22/20        0\n",
       "      8 │ Armenia              1/22/20        0\n",
       "      9 │ Australia            1/22/20        0\n",
       "     10 │ Australia            1/22/20        0\n",
       "     11 │ Australia            1/22/20        0\n",
       "   ⋮    │          ⋮              ⋮        ⋮\n",
       " 184231 │ United Kingdom       11/9/21  9366676\n",
       " 184232 │ Uruguay              11/9/21   395610\n",
       " 184233 │ Uzbekistan           11/9/21   188398\n",
       " 184234 │ Vanuatu              11/9/21        6\n",
       " 184235 │ Venezuela            11/9/21   414220\n",
       " 184236 │ Vietnam              11/9/21   984805\n",
       " 184237 │ West Bank and Gaza   11/9/21   455949\n",
       " 184238 │ Yemen                11/9/21     9891\n",
       " 184239 │ Zambia               11/9/21   209918\n",
       " 184240 │ Zimbabwe             11/9/21   133242\n",
       "\u001b[36m                             184219 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = DataFrames.stack(df, Not([\"Country/Region\"]), \"Country/Region\", variable_name=\"Date\", value_name=\"Cases\",)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "92e24d73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "184240-element Vector{Date}:\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " 2020-01-22\n",
       " ⋮\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09\n",
       " 2021-11-09"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.Date = Dates.Date.(df.Date |> Array, Dates.DateFormat(\"m/d/Y\")) .+ Dates.Year(2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "939655fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"data-frame\"><p>3 rows × 7 columns</p><table class=\"data-frame\"><thead><tr><th></th><th>variable</th><th>mean</th><th>min</th><th>median</th><th>max</th><th>nmissing</th><th>eltype</th></tr><tr><th></th><th title=\"Symbol\">Symbol</th><th title=\"Union{Nothing, Float64}\">Union…</th><th title=\"Any\">Any</th><th title=\"Union{Nothing, Float64}\">Union…</th><th title=\"Any\">Any</th><th title=\"Int64\">Int64</th><th title=\"DataType\">DataType</th></tr></thead><tbody><tr><th>1</th><td>Country/Region</td><td></td><td>Afghanistan</td><td></td><td>Zimbabwe</td><td>0</td><td>String63</td></tr><tr><th>2</th><td>Date</td><td></td><td>2020-01-22</td><td></td><td>2021-11-09</td><td>0</td><td>Date</td></tr><tr><th>3</th><td>Cases</td><td>3.29681e5</td><td>0</td><td>2822.0</td><td>46693102</td><td>0</td><td>Int64</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccccc}\n",
       "\t& variable & mean & min & median & max & nmissing & eltype\\\\\n",
       "\t\\hline\n",
       "\t& Symbol & Union… & Any & Union… & Any & Int64 & DataType\\\\\n",
       "\t\\hline\n",
       "\t1 & Country/Region &  & Afghanistan &  & Zimbabwe & 0 & String63 \\\\\n",
       "\t2 & Date &  & 2020-01-22 &  & 2021-11-09 & 0 & Date \\\\\n",
       "\t3 & Cases & 3.29681e5 & 0 & 2822.0 & 46693102 & 0 & Int64 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m3×7 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m variable       \u001b[0m\u001b[1m mean      \u001b[0m\u001b[1m min         \u001b[0m\u001b[1m median \u001b[0m\u001b[1m max        \u001b[0m\u001b[1m nmissing \u001b[0m\u001b[1m e\u001b[0m ⋯\n",
       "\u001b[1m     \u001b[0m│\u001b[90m Symbol         \u001b[0m\u001b[90m Union…    \u001b[0m\u001b[90m Any         \u001b[0m\u001b[90m Union… \u001b[0m\u001b[90m Any        \u001b[0m\u001b[90m Int64    \u001b[0m\u001b[90m D\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ Country/Region \u001b[90m           \u001b[0m Afghanistan \u001b[90m        \u001b[0m Zimbabwe           0  S ⋯\n",
       "   2 │ Date           \u001b[90m           \u001b[0m 2020-01-22  \u001b[90m        \u001b[0m 2021-11-09         0  D\n",
       "   3 │ Cases           3.29681e5  0            2822.0  46693102           0  I\n",
       "\u001b[36m                                                                1 column omitted\u001b[0m"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "describe(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "9369ac68",
   "metadata": {},
   "outputs": [
    {
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       "  713.491,1350.73 716.383,1350.13 719.276,1349.59 722.168,1348.89 725.061,1348.23 727.954,1347.6 730.846,1347.11 733.739,1346.52 736.631,1345.98 739.524,1345.38 \n",
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       "  1552.34,637.5 1555.24,635.442 1558.13,633.72 1561.02,632.359 1563.92,630.91 1566.81,629.413 1569.7,627.649 1572.59,625.856 1575.49,624.097 1578.38,622.552 \n",
       "  1581.27,621.443 1584.16,620.267 1587.06,618.805 1589.95,617.277 1592.84,615.628 1595.73,614 1598.63,612.603 1601.52,611.586 1604.41,610.136 1607.3,608.709 \n",
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       "  1668.05,574.607 1670.94,572.636 1673.83,570.532 1676.73,568.32 1679.62,566.516 1682.51,565.306 1685.4,563.513 1688.3,561.462 1691.19,559.476 1694.08,557.532 \n",
       "  1696.97,555.424 1699.87,554.023 1702.76,552.904 1705.65,551.14 1708.55,549.543 1711.44,547.867 1714.33,546.121 1717.22,544.485 1720.12,543.072 1723.01,542.188 \n",
       "  1725.9,540.967 1728.79,539.641 1731.69,538.19 1734.58,536.653 1737.47,535.127 1740.36,533.913 1743.26,533.131 1746.15,531.83 1749.04,530.776 1751.93,529.588 \n",
       "  1754.83,528.333 1757.72,527.082 1760.61,526.183 1763.5,525.608 1766.4,524.667 1769.29,523.784 1772.18,522.841 1775.07,521.818 1777.97,520.724 1780.86,519.954 \n",
       "  1783.75,519.501 1786.65,518.755 1789.54,518.035 1792.43,517.266 1795.32,516.473 1798.22,515.733 1801.11,515.196 1804,514.846 1806.89,514.189 1809.79,513.595 \n",
       "  1812.68,512.955 1815.57,512.236 1818.46,511.665 1821.36,511.338 1824.25,511.156 1827.14,511 1830.03,510.419 1832.93,509.974 1835.82,509.47 1838.71,509.025 \n",
       "  1841.6,508.649 1844.5,508.499 1847.39,508.102 1850.28,507.765 1853.17,507.268 1856.07,506.889 1858.96,506.239 1861.85,506.011 1864.75,505.874 1867.64,505.55 \n",
       "  1870.53,505.265 1873.42,504.935 1876.32,504.656 1879.21,504.097 1882.1,503.876 1884.99,503.758 1887.89,503.451 1890.78,503.17 1893.67,502.827 1896.56,502.465 \n",
       "  1899.46,501.827 1902.35,501.6 1905.24,501.488 1908.13,501.104 1911.03,500.928 1913.92,500.5 1916.81,500.118 1919.7,499.347 1922.6,499.225 1925.49,499.126 \n",
       "  1928.38,498.894 1931.28,498.28 1934.17,497.688 1937.06,497.184 1939.95,495.939 1942.85,495.72 1945.74,495.428 1948.63,494.543 1951.52,493.852 1954.42,492.983 \n",
       "  1957.31,492.2 1960.2,490.168 1963.09,489.859 1965.99,489.337 1968.88,487.956 1971.77,486.894 1974.66,485.568 1977.56,484.129 1980.45,480.999 1983.34,480.341 \n",
       "  1986.23,479.674 1989.13,477.389 1992.02,475.59 1994.91,473.774 1997.8,471.684 2000.7,466.749 2003.59,465.922 2006.48,464.776 2009.38,461.603 2012.27,458.903 \n",
       "  2015.16,456.357 2018.05,453.448 2020.95,446.746 2023.84,445.464 2026.73,444.766 2029.62,440.004 2032.52,436.824 2035.41,432.724 2038.3,428.993 2041.19,422.956 \n",
       "  2044.09,421.669 2046.98,420.571 2049.87,414.788 2052.76,410.789 2055.66,406.621 2058.55,402.494 2061.44,396.041 2064.33,394.308 2067.23,393.362 2070.12,387.108 \n",
       "  2073.01,382.991 2075.91,378.531 2078.8,373.686 2081.69,367.302 2084.58,365.709 2087.48,364.602 2090.37,357.772 2093.26,353.283 2096.15,347.978 2099.05,343.359 \n",
       "  2101.94,337.19 2104.83,335.497 2107.72,334.438 2110.62,332.462 2113.51,325.185 2116.4,320.398 2119.29,316.2 2122.19,310.216 2125.08,308.527 2127.97,307.585 \n",
       "  2130.86,300.734 2133.76,296.925 2136.65,292.427 2139.54,288.357 2142.43,282.891 2145.33,281.399 2148.22,280.444 2151.11,275.143 2154.01,271.949 2156.9,268.461 \n",
       "  2159.79,265.145 2162.68,260.504 2165.58,259.27 2168.47,258.06 2171.36,253.472 2174.25,250.549 2177.15,247.318 2180.04,244.435 2182.93,240.425 2185.82,239.403 \n",
       "  2188.72,238.387 2191.61,234.171 2194.5,231.636 2197.39,228.73 2200.29,226.105 2203.18,222.788 2206.07,222.062 2208.96,221.158 2211.86,218.324 2214.75,215.52 \n",
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       "  2246.57,192.924 2249.46,192.491 2252.35,189.353 2255.25,187.551 2258.14,184.913 2261.03,182.879 2263.92,180.428 2266.82,179.654 2269.71,178.876 2272.6,175.818 \n",
       "  2275.49,173.904 2278.39,171.689 2281.28,169.547 2284.17,167.009 2287.06,166.225 2289.96,165.648 2292.85,162.352 2295.74,160.256 \n",
       "  \"/>\n",
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      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "plot(df[df[!,\"Country/Region\"] .== \"US\", :Date], df[df[!,\"Country/Region\"] .== \"US\", :Cases], title = \"Confirmed cases US\", xlabel = \"Date\", ylabel = \"Number of cases\", legend = true,)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "ca569cc7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "search: \u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m Sub\u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m Bit\u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m Dense\u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m Strided\u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m PermutedDims\u001b[0m\u001b[1mA\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1my\u001b[22m\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "\\begin{verbatim}\n",
       "Array{T,N} <: AbstractArray{T,N}\n",
       "\\end{verbatim}\n",
       "\\texttt{N}-dimensional dense array with elements of type \\texttt{T}.\n",
       "\n",
       "\\rule{\\textwidth}{1pt}\n",
       "\\begin{verbatim}\n",
       "Array{T}(undef, dims)\n",
       "Array{T,N}(undef, dims)\n",
       "\\end{verbatim}\n",
       "Construct an uninitialized \\texttt{N}-dimensional \\href{@ref}{\\texttt{Array}} containing elements of type \\texttt{T}. \\texttt{N} can either be supplied explicitly, as in \\texttt{Array\\{T,N\\}(undef, dims)}, or be determined by the length or number of \\texttt{dims}. \\texttt{dims} may be a tuple or a series of integer arguments corresponding to the lengths in each dimension. If the rank \\texttt{N} is supplied explicitly, then it must match the length or number of \\texttt{dims}. See \\href{@ref}{\\texttt{undef}}.\n",
       "\n",
       "\\section{Examples}\n",
       "\\begin{verbatim}\n",
       "julia> A = Array{Float64, 2}(undef, 2, 3) # N given explicitly\n",
       "2×3 Array{Float64, 2}:\n",
       " 6.90198e-310  6.90198e-310  6.90198e-310\n",
       " 6.90198e-310  6.90198e-310  0.0\n",
       "\n",
       "julia> B = Array{Float64}(undef, 2) # N determined by the input\n",
       "2-element Array{Float64, 1}:\n",
       " 1.87103e-320\n",
       " 0.0\n",
       "\\end{verbatim}\n",
       "\\rule{\\textwidth}{1pt}\n",
       "\\begin{verbatim}\n",
       "Array{T}(nothing, dims)\n",
       "Array{T,N}(nothing, dims)\n",
       "\\end{verbatim}\n",
       "Construct an \\texttt{N}-dimensional \\href{@ref}{\\texttt{Array}} containing elements of type \\texttt{T}, initialized with \\href{@ref}{\\texttt{nothing}} entries. Element type \\texttt{T} must be able to hold these values, i.e. \\texttt{Nothing <: T}.\n",
       "\n",
       "\\section{Examples}\n",
       "\\begin{verbatim}\n",
       "julia> Array{Union{Nothing, String}}(nothing, 2)\n",
       "2-element Vector{Union{Nothing, String}}:\n",
       " nothing\n",
       " nothing\n",
       "\n",
       "julia> Array{Union{Nothing, Int}}(nothing, 2, 3)\n",
       "2×3 Matrix{Union{Nothing, Int64}}:\n",
       " nothing  nothing  nothing\n",
       " nothing  nothing  nothing\n",
       "\\end{verbatim}\n",
       "\\rule{\\textwidth}{1pt}\n",
       "\\begin{verbatim}\n",
       "Array{T}(missing, dims)\n",
       "Array{T,N}(missing, dims)\n",
       "\\end{verbatim}\n",
       "Construct an \\texttt{N}-dimensional \\href{@ref}{\\texttt{Array}} containing elements of type \\texttt{T}, initialized with \\href{@ref}{\\texttt{missing}} entries. Element type \\texttt{T} must be able to hold these values, i.e. \\texttt{Missing <: T}.\n",
       "\n",
       "\\section{Examples}\n",
       "\\begin{verbatim}\n",
       "julia> Array{Union{Missing, String}}(missing, 2)\n",
       "2-element Vector{Union{Missing, String}}:\n",
       " missing\n",
       " missing\n",
       "\n",
       "julia> Array{Union{Missing, Int}}(missing, 2, 3)\n",
       "2×3 Matrix{Union{Missing, Int64}}:\n",
       " missing  missing  missing\n",
       " missing  missing  missing\n",
       "\\end{verbatim}\n"
      ],
      "text/markdown": [
       "```\n",
       "Array{T,N} <: AbstractArray{T,N}\n",
       "```\n",
       "\n",
       "`N`-dimensional dense array with elements of type `T`.\n",
       "\n",
       "---\n",
       "\n",
       "```\n",
       "Array{T}(undef, dims)\n",
       "Array{T,N}(undef, dims)\n",
       "```\n",
       "\n",
       "Construct an uninitialized `N`-dimensional [`Array`](@ref) containing elements of type `T`. `N` can either be supplied explicitly, as in `Array{T,N}(undef, dims)`, or be determined by the length or number of `dims`. `dims` may be a tuple or a series of integer arguments corresponding to the lengths in each dimension. If the rank `N` is supplied explicitly, then it must match the length or number of `dims`. See [`undef`](@ref).\n",
       "\n",
       "# Examples\n",
       "\n",
       "```julia-repl\n",
       "julia> A = Array{Float64, 2}(undef, 2, 3) # N given explicitly\n",
       "2×3 Array{Float64, 2}:\n",
       " 6.90198e-310  6.90198e-310  6.90198e-310\n",
       " 6.90198e-310  6.90198e-310  0.0\n",
       "\n",
       "julia> B = Array{Float64}(undef, 2) # N determined by the input\n",
       "2-element Array{Float64, 1}:\n",
       " 1.87103e-320\n",
       " 0.0\n",
       "```\n",
       "\n",
       "---\n",
       "\n",
       "```\n",
       "Array{T}(nothing, dims)\n",
       "Array{T,N}(nothing, dims)\n",
       "```\n",
       "\n",
       "Construct an `N`-dimensional [`Array`](@ref) containing elements of type `T`, initialized with [`nothing`](@ref) entries. Element type `T` must be able to hold these values, i.e. `Nothing <: T`.\n",
       "\n",
       "# Examples\n",
       "\n",
       "```jldoctest\n",
       "julia> Array{Union{Nothing, String}}(nothing, 2)\n",
       "2-element Vector{Union{Nothing, String}}:\n",
       " nothing\n",
       " nothing\n",
       "\n",
       "julia> Array{Union{Nothing, Int}}(nothing, 2, 3)\n",
       "2×3 Matrix{Union{Nothing, Int64}}:\n",
       " nothing  nothing  nothing\n",
       " nothing  nothing  nothing\n",
       "```\n",
       "\n",
       "---\n",
       "\n",
       "```\n",
       "Array{T}(missing, dims)\n",
       "Array{T,N}(missing, dims)\n",
       "```\n",
       "\n",
       "Construct an `N`-dimensional [`Array`](@ref) containing elements of type `T`, initialized with [`missing`](@ref) entries. Element type `T` must be able to hold these values, i.e. `Missing <: T`.\n",
       "\n",
       "# Examples\n",
       "\n",
       "```jldoctest\n",
       "julia> Array{Union{Missing, String}}(missing, 2)\n",
       "2-element Vector{Union{Missing, String}}:\n",
       " missing\n",
       " missing\n",
       "\n",
       "julia> Array{Union{Missing, Int}}(missing, 2, 3)\n",
       "2×3 Matrix{Union{Missing, Int64}}:\n",
       " missing  missing  missing\n",
       " missing  missing  missing\n",
       "```\n"
      ],
      "text/plain": [
       "\u001b[36m  Array{T,N} <: AbstractArray{T,N}\u001b[39m\n",
       "\n",
       "  \u001b[36mN\u001b[39m-dimensional dense array with elements of type \u001b[36mT\u001b[39m.\n",
       "\n",
       "  ────────────────────────────────────────────────────────────────────────────\n",
       "\n",
       "\u001b[36m  Array{T}(undef, dims)\u001b[39m\n",
       "\u001b[36m  Array{T,N}(undef, dims)\u001b[39m\n",
       "\n",
       "  Construct an uninitialized \u001b[36mN\u001b[39m-dimensional \u001b[36mArray\u001b[39m containing elements of type\n",
       "  \u001b[36mT\u001b[39m. \u001b[36mN\u001b[39m can either be supplied explicitly, as in \u001b[36mArray{T,N}(undef, dims)\u001b[39m, or be\n",
       "  determined by the length or number of \u001b[36mdims\u001b[39m. \u001b[36mdims\u001b[39m may be a tuple or a series\n",
       "  of integer arguments corresponding to the lengths in each dimension. If the\n",
       "  rank \u001b[36mN\u001b[39m is supplied explicitly, then it must match the length or number of\n",
       "  \u001b[36mdims\u001b[39m. See \u001b[36mundef\u001b[39m.\n",
       "\n",
       "\u001b[1m  Examples\u001b[22m\n",
       "\u001b[1m  ≡≡≡≡≡≡≡≡≡≡\u001b[22m\n",
       "\n",
       "\u001b[36m  julia> A = Array{Float64, 2}(undef, 2, 3) # N given explicitly\u001b[39m\n",
       "\u001b[36m  2×3 Array{Float64, 2}:\u001b[39m\n",
       "\u001b[36m   6.90198e-310  6.90198e-310  6.90198e-310\u001b[39m\n",
       "\u001b[36m   6.90198e-310  6.90198e-310  0.0\u001b[39m\n",
       "\u001b[36m  \u001b[39m\n",
       "\u001b[36m  julia> B = Array{Float64}(undef, 2) # N determined by the input\u001b[39m\n",
       "\u001b[36m  2-element Array{Float64, 1}:\u001b[39m\n",
       "\u001b[36m   1.87103e-320\u001b[39m\n",
       "\u001b[36m   0.0\u001b[39m\n",
       "\n",
       "  ────────────────────────────────────────────────────────────────────────────\n",
       "\n",
       "\u001b[36m  Array{T}(nothing, dims)\u001b[39m\n",
       "\u001b[36m  Array{T,N}(nothing, dims)\u001b[39m\n",
       "\n",
       "  Construct an \u001b[36mN\u001b[39m-dimensional \u001b[36mArray\u001b[39m containing elements of type \u001b[36mT\u001b[39m, initialized\n",
       "  with \u001b[36mnothing\u001b[39m entries. Element type \u001b[36mT\u001b[39m must be able to hold these values, i.e.\n",
       "  \u001b[36mNothing <: T\u001b[39m.\n",
       "\n",
       "\u001b[1m  Examples\u001b[22m\n",
       "\u001b[1m  ≡≡≡≡≡≡≡≡≡≡\u001b[22m\n",
       "\n",
       "\u001b[36m  julia> Array{Union{Nothing, String}}(nothing, 2)\u001b[39m\n",
       "\u001b[36m  2-element Vector{Union{Nothing, String}}:\u001b[39m\n",
       "\u001b[36m   nothing\u001b[39m\n",
       "\u001b[36m   nothing\u001b[39m\n",
       "\u001b[36m  \u001b[39m\n",
       "\u001b[36m  julia> Array{Union{Nothing, Int}}(nothing, 2, 3)\u001b[39m\n",
       "\u001b[36m  2×3 Matrix{Union{Nothing, Int64}}:\u001b[39m\n",
       "\u001b[36m   nothing  nothing  nothing\u001b[39m\n",
       "\u001b[36m   nothing  nothing  nothing\u001b[39m\n",
       "\n",
       "  ────────────────────────────────────────────────────────────────────────────\n",
       "\n",
       "\u001b[36m  Array{T}(missing, dims)\u001b[39m\n",
       "\u001b[36m  Array{T,N}(missing, dims)\u001b[39m\n",
       "\n",
       "  Construct an \u001b[36mN\u001b[39m-dimensional \u001b[36mArray\u001b[39m containing elements of type \u001b[36mT\u001b[39m, initialized\n",
       "  with \u001b[36mmissing\u001b[39m entries. Element type \u001b[36mT\u001b[39m must be able to hold these values, i.e.\n",
       "  \u001b[36mMissing <: T\u001b[39m.\n",
       "\n",
       "\u001b[1m  Examples\u001b[22m\n",
       "\u001b[1m  ≡≡≡≡≡≡≡≡≡≡\u001b[22m\n",
       "\n",
       "\u001b[36m  julia> Array{Union{Missing, String}}(missing, 2)\u001b[39m\n",
       "\u001b[36m  2-element Vector{Union{Missing, String}}:\u001b[39m\n",
       "\u001b[36m   missing\u001b[39m\n",
       "\u001b[36m   missing\u001b[39m\n",
       "\u001b[36m  \u001b[39m\n",
       "\u001b[36m  julia> Array{Union{Missing, Int}}(missing, 2, 3)\u001b[39m\n",
       "\u001b[36m  2×3 Matrix{Union{Missing, Int64}}:\u001b[39m\n",
       "\u001b[36m   missing  missing  missing\u001b[39m\n",
       "\u001b[36m   missing  missing  missing\u001b[39m"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "?Array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "53a735c7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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